Dos números están en la razón 2: 7. si la suma de ellos es -36. cuáles son los números?

The numbers are "x" and "y";
We can suggest the following system of  equations:

x/y=2/7
x+y=-36

We solve this system of equation by substitution method.
x/y=2/7 ⇒7x=2y  ⇒  x=2y/7

(2y/7)+y=-36
2y+7y=-252
9y=-252
y=-252/9
y=-28

x+y=-36
x-28=-36
x=-36+28
x=-8

The numbers are -8 and -28.